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Word Equation Systems: The Heuristic Approach [chapter]

César Luis Alonso, Fátima Drubi, Judith Gómez-García, José Luis Montaña
2004 Lecture Notes in Computer Science  
This paper is devoted to propose the heuristic approach to deal with the problem of solving word equation systems provided that some upper bound for the length of the solutions is given.  ...  Our experimental results also certify that our local optimization technique seems to outperform the WSAT class of local search procedures for the word equation system problem.  ...  This paper is devoted to propose the heuristic approach to deal with the problem of solving word equation systems provided that some upper bound for the length of the solutions is given.  ... 
doi:10.1007/978-3-540-28645-5_9 fatcat:6ri42pagcbeahmho7x7ruxguja

A Heuristic Approach to the Relativistic Angular Momentum [article]

Sebastiano Tosto
2000 arXiv   pre-print
The paper shows the conceptual basis of the approach.  ...  The relativistic angular momentum is introduced as an extension of the non-relativistic analysis of allowed states in the phase space for a quantum particle.  ...  Our knowledge about the system rests in general just on the possibility to write down this wave equation and find its solution.  ... 
arXiv:quant-ph/0001098v2 fatcat:ngfccdh7bnhbbkzghmwtlr5utm

Heuristic Rating Estimation Approach to The Pairwise Comparisons Method [article]

Konrad Kułakowski
2014 arXiv   pre-print
The Heuristic Ratio Estimation (HRE) approach proposes a new way of using the pairwise comparisons matrix.  ...  The main purpose of this paper is to extend the previously proposed iterative HRE algorithm and present all the heuristics that create a generalized approach.  ...  Acknowledgements I would like to thank Dr Jarosław Wąs for reading the first version of this work, his comments and corrections. I am also grateful to Prof.  ... 
arXiv:1309.0386v2 fatcat:gdxeihwcgfbcfp4nf4acngqqve

The Concordance Model - a Heuristic Approach from a Stationary Universe [article]

Peter Ostermann
2013 arXiv   pre-print
be the only arguable solution of Einstein's original equations without cosmological constant.  ...  of the extragalactic background light.  ...  The SUM -as well as nearly every approach to cosmology today -is based on Einstein's equations.  ... 
arXiv:astro-ph/0312655v6 fatcat:ux7vjfqrpjhf7gmi2t2jn47mb4

Heuristic approach for the multiobjective optimization of the customized bus scheduling problem

Kaijun Liu, Jianming Liu, Jingwei Zhang
2021 IET Intelligent Transport Systems  
A real-world customized bus scheduling problem from the public transport company of Chengdu, China that contains 2,000-trip instances operated on a day is used to demonstrate that the proposed approach  ...  To quickly generate satisfactory scheduling solutions in the case of single-and multi-depots, a heuristic multiobjective optimization algorithm based on preemptive scheduling is proposed, which can converge  ...  ACKNOWLEDGEMENTS This work is supported by the National Natural Science Foundation of China (Grant Nos. 61862013, 62167002, U1711263, U1811264), the Guangxi Natural Science Foundation of China  ... 
doi:10.1049/itr2.12131 fatcat:b7mpz2wbsvdb7jaq2hikayftay

On two pictures in the heuristic approach to gravity [article]

2007 arXiv   pre-print
We examine the heuristic approach to constant gravitational field by Dehnen, H\"onl and Westpfahl, extending it everywhere beyond linear approximation.  ...  In particular, this approach suggest that the privileged system for constant gravitational field must be the isotropic one and that the requirement of gauge invariance in gravitation theory may be a luxury  ...  In other words, the equations, describing the atom, are invariant under the transformations (4-10). So the spectrum is simply redshifted in this picture.  ... 
arXiv:0710.4445v1 fatcat:f37oqltlzbbdbcivwfsxap2oom

The Heuristic Dynamic Programming Approach in Boost Converters [article]

Sepehr Saadatmand, Pourya Shamsi, Mehdi Ferdowsi
2020 arXiv   pre-print
Therefore, the performance of the controller during the start-up, the load change, or the input voltage variation is not optimal since the system model changes by varying the operating point.  ...  The heuristic dynamic programming controller optimally controls the boost converter by following the approximate dynamic programming.  ...  CONCLUSION In this paper, a heuristic dynamic programming (HDP) approach was introduced to optimally control a boost converter.  ... 
arXiv:2002.00822v1 fatcat:k5kwv2ioyjhd7g7b4cg52dwbr4

Islamic Reformation: The Value of a Heuristic Approach

Irina Starodubrovskaya, Ye.T. Gaidar Institute for Economic Policy (Moscow, Russia)"
2018 State Religion and Church  
as the driving force behind this new reformation.  ...  it possible to demonstrate that current tendencies in the Islamic world are quite similar to those that occurred during the Reformation and that some groups of Islamic fundamentalists can be considered  ...  This differs significantly from traditional legal approaches where the maintenance of hierarchical subordination is built into the normative system of relationships.  ... 
doi:10.22394/2311-3448-2018-5-1-4-34 fatcat:t75amrcftzgxvatlgy72kspngi

Notes on the existence of a solution in the pairwise comparisons method using the heuristic rating estimation approach

Konrad Kułakowski
2015 Annals of Mathematics and Artificial Intelligence  
The article explores the properties of these equation systems.  ...  The Heuristic Rating Estimation (HRE) approach is a modification of this method in which allows modelling of the reference values.  ...  based condition for the existence of a solution To receive the ranking estimates in the HRE approach it is enough to solve the linear equation system Aμ = b.  ... 
doi:10.1007/s10472-015-9474-6 fatcat:t2z6pdchffa2vcmoctmy63fvja

A geometric approach to the Cohen-Lenstra heuristics [article]

Aaron Landesman
2021 arXiv   pre-print
We give a new geometric description of when an element of the class group of a quadratic field, thought of as a quadratic form q, is n-torsion.  ...  Therefore, C is given by an equation of the form y 2 z + a 1 xyz = x 3 + a 2 x 2 z.  ...  See §3 for the geometric construction which gives the idea behind the proof of Theorem 1.3. We now describe a number of salient features of our approach. Remark 1.4.  ... 
arXiv:2106.10357v1 fatcat:zznikij2zrak5eneq7roggfjoy

Heuristic approach to a natural unification of the Quantum Theory and the General Theory of Relativity [article]

Sanjay M. Wagh
2004 arXiv   pre-print
Heuristic arguments are presented to show that a natural unification of the quantum theory and the general theory of relativity is achievable in this manner.  ...  This is, in a theory of probability, understandable since we need to assume some intrinsic properties of the object we are calculating the probability about.  ...  the system is naturally no longer possible, and there can be no question of causality in the ordinary sense of the word. ...  ... 
arXiv:physics/0409057v1 fatcat:ipxrrwup3zbfxe2cnk6tj3hyla

A heuristic mathematical approach for modeling constraint cumulativity: Contrastive focus in Spanish and Catalan

Aria Adli
2011 The Linguistic Review  
The presumed constraint set is analyzed with an algebraic approach based on a system of linear equations with which violation costs are calculated.  ...  This work presents a heuristic mathematical approach to modeling and quantifying constraint violations.  ...  It commonly happens in such algebraic approaches that the system of equations cannot be solved.  ... 
doi:10.1515/tlir.2011.004 fatcat:wwb6fgvnrjbjnmr3qrevohm4x4

An approximate dynamic programing approach to the development of heuristics for the scheduling of impatient jobs in a clearing system

Dong Li, Kevin D. Glazebrook
2010 Naval Research Logistics  
We develop a robustly good heuristic by an approximative approach to the application of a policy improvement step to the asymptotically optimal heuristic π S , in which we use a fluid model to obtain an  ...  Should a job's lifetime expire before its service begins then it is lost from the system unserved. The goal is to schedule the jobs for service to maximize the expected number served to completion.  ...  ACKNOWLEDGMENTS The first author would like to express his gratitude to Lancaster University Management School for the support received during this work.  ... 
doi:10.1002/nav.20395 fatcat:gnse26vtl5ez7b3bbszq5rai6e

The Mean Field Theory of Spin Glasses: The Heuristic Replica Approach and Recent Rigorous Results

Giorgio Parisi
2009 Letters in Mathematical Physics  
The mathematical tools used in the rigorous approach are quite different from those of the heuristic approach.  ...  The exact solution of the model was found many years ago by using a heuristic approach; the results coming from the heuristic approach were crucial in deriving the mathematical results.  ...  by the heuristic approach [20, 21] .  ... 
doi:10.1007/s11005-009-0317-4 fatcat:tfx5amuvuzgafhdmxgqq4r24ui

One-variable word equations in linear time [article]

Artur Jeż
2014 arXiv   pre-print
In this paper we consider word equations with one variable (and arbitrary many appearances of it).  ...  A recent technique of recompression, which is applicable to general word equations, is shown to be suitable also in this case.  ...  Plandowski for his numerous comments and suggestions on the recompression applied to word equations.  ... 
arXiv:1302.3481v2 fatcat:cnrawpyt7rcrnexej7bh4d6afq
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